151200203364 has 288 divisors, whose sum is σ = 473230598400. Its totient is φ = 41577338880.

The previous prime is 151200203327. The next prime is 151200203419. The reversal of 151200203364 is 463302002151.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54172809 + ... + 54175599.

It is an arithmetic number, because the mean of its divisors is an integer number (1643161800).

Almost surely, 2^151200203364 is an apocalyptic number.

151200203364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151200203364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236615299200).

151200203364 is an abundant number, since it is smaller than the sum of its proper divisors (322030395036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151200203364 is a wasteful number, since it uses less digits than its factorization.

151200203364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 151200203364 in words is "one hundred fifty-one billion, two hundred million, two hundred three thousand, three hundred sixty-four".